Pith Number

pith:LM62FZ5Z

pith:2026:LM62FZ5ZEI6U3FSVCMBCZJMSUF

not attested not anchored not stored refs pending

Higher-Order Heat Estimates and Semilinear Heat Equations on the Noncommutative Torus

Fulin Yang, Zhipeng Yang

arxiv:2605.25513 v1 · 2026-05-25 · math.AP · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LM62FZ5ZEI6U3FSVCMBCZJMSUF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-26T02:04:40.280035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b3da2e7b9223d4d965513022ca592a14d114fda00f17537c1ff669743ad08a3

Aliases

arxiv: 2605.25513 · arxiv_version: 2605.25513v1 · doi: 10.48550/arxiv.2605.25513 · pith_short_12: LM62FZ5ZEI6U · pith_short_16: LM62FZ5ZEI6U3FSV · pith_short_8: LM62FZ5Z

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LM62FZ5ZEI6U3FSVCMBCZJMSUF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5b3da2e7b9223d4d965513022ca592a14d114fda00f17537c1ff669743ad08a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51db0b82f7236a5ac67ddc31fead35ec15285007402faf92adffbedecdbfd0b3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-25T07:17:26Z",
    "title_canon_sha256": "cfcdc23a18385fd80fa039f6dca2387fe84ec0f49ec81d81fd7a85fa1c36574c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25513",
    "kind": "arxiv",
    "version": 1
  }
}